The purpose of this paper is to open a scientific discussion on possible applications of media described by fractional-order (FO) models (FOMs) in electromagnetic cloaking. A 2-D cloak based on active sources and the surface equivalence theorem is simulated. It employs a medium described by FOM in communication with sources cancelling the scattered field. A perfect electromagnetic active cloak is thereby demonstrated with the use of a finite-difference time-domain method combined with a simulation algorithm of non-monochromatic wave propagation in the media described by FOM. The application of constitutive relations based on FOMs in Maxwell’s equations provides solutions which correspond to the results reported for the time-fractional diffusion-wave equation, which is non-relativistic, like the classical diffusion equation. This property is employed in the presented cloaking scheme for communication with active current sources around the cloak, which cancel the scattered field of an object inside the cloak. Although in the real world perfect invisibility is impossible to obtain due to the constraint of light speed, it is possible to obtain a perfect cloak in theoretical considerations by using FO formulation of electromagnetism. It is worth noticing that numerous literature sources experimentally confirm the existence of electromagnetic media described by FOMs; hence, the presented numerical results should hopefully stimulate further investigations related to applications of FOMs in electromagnetic cloaking.

本文的目的是就由分数阶（FO）模型（FOM）描述的媒体在电磁隐身中的可能应用展开科学讨论。模拟了基于活动源和表面等效定理的二维隐身衣。它采用了FOM所描述的介质与消除散射场的源进行通信。因此，通过使用有限差分时域方法与非单色波在FOM描述的介质中传播的模拟算法相结合，可以证明一种完美的电磁有源披风。在Maxwell方程中基于FOM的本构关系的应用提供的解决方案与报告的时间分数扩散波方程的结果相对应，该时间分数扩散波方程是非相对论的，类似于经典扩散方程。此属性在提出的隐身方案中用于与隐身衣周围的有功电流源通信，这消除了隐身衣内部物体的散射场。尽管在现实世界中，由于光速的限制而无法获得完美的隐形效果，但通过使用电磁的FO公式，有可能在理论上获得完美的隐形斗篷。值得注意的是，大量文献资料通过实验证实了FOM描述的电磁介质的存在。因此，提出的数值结果有望激发与FOM在电磁隐身中的应用相关的进一步研究。尽管在现实世界中，由于光速的限制而无法获得完美的隐形效果，但通过使用电磁的FO公式，有可能在理论上获得完美的隐形斗篷。值得注意的是，大量文献资料通过实验证实了FOM描述的电磁介质的存在。因此，提出的数值结果有望激发与FOM在电磁隐身中的应用相关的进一步研究。尽管在现实世界中，由于光速的限制而无法获得完美的隐形效果，但通过使用电磁的FO公式，有可能在理论上获得完美的隐形斗篷。值得注意的是，大量文献资料通过实验证实了FOM描述的电磁介质的存在。因此，提出的数值结果有望激发与FOM在电磁隐身中的应用有关的进一步研究。值得注意的是，大量文献资料通过实验证实了FOM描述的电磁介质的存在。因此，提出的数值结果有望激发与FOM在电磁隐身中的应用相关的进一步研究。值得注意的是，大量文献资料通过实验证实了FOM描述的电磁介质的存在。因此，提出的数值结果有望激发与FOM在电磁隐身中的应用相关的进一步研究。